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Numerical stochastic perturbation theory for full QCD

Francesco Di Renzo1,2 and Luigi Scorzato3

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We give a full account of the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories. Particular relevance is given to the inclusion of dynamical fermions, which turns out to be surprisingly cheap in this context. We analyse the underlying stochastic process and discuss the convergence properties. We perform some benchmark calculations and—as a byproduct—we present original results for Wilson loops and the 3-loop critical mass for Wilson fermions.


Keywords

Lattice Gauge Field Theories

Lattice Quantum Field Theory

NLO Computations

PACS

12.38.Bx Perturbative calculations

11.15.Bt General properties of perturbation theory

11.15.Ha Lattice gauge theory

02.50.Ey Stochastic processes

Subjects

Computational physics

Particle physics and field theory

Dates

Issue 10 (October 2004)

Received 2 October 2004, accepted for publication 29 October 2004

Published 20 November 2004



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